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Finding the Fourth Proportional to 112,057, 168,085.50 and 41,969.32

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Solution

The fourth proportional to 112,057, 168,085.50 and 41,969.32 is: 62,953.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,057 : 168,085.50 = 41,969.32 : x
  2. Step 2: Convert to fraction form
    112,057/168,085.50 = 41,969.32/x
  3. Step 3: Cross multiply
    112,057x = 168,085.50 × 41,969.32
  4. Step 4: Simplify right side
    112,057x = 7,054,434,136.86
  5. Step 5: Solve for x
    x = 7,054,434,136.86/112,057
  6. Step 6: Final answer
    x = 62,953.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.